Moderate Deviations for the SSEP with a Slow Bond

Xue, Xiaofeng; Zhao, Linjie

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s10955-021-02732-2

Title :

Moderate Deviations for the SSEP with a Slow Bond

Author(s) :

Xue, Xiaofeng [Auteur]
Beijing Jiaotong University [BJTU]
Zhao, Linjie [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]

Journal title :

Journal of Statistical Physics

Pages :

Publisher :

Springer Verlag

Publication date :

2021-02

ISSN :

0022-4715

English keyword(s) :

exclusion process
slow bond
moderate deviation
exponential martingale

HAL domain(s) :

Mathématiques [math]/Probabilités [math.PR]

English abstract : [en]

We consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate N^2 , except one particular bond, the slow bond, where the rate is N. Above, N is the ...
Show more >We consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate N^2 , except one particular bond, the slow bond, where the rate is N. Above, N is the scaling parameter. This model has been considered in the context of hydrodynamic limits, fluctuations and large deviations. We investigate moderate deviations from hydrodynamics and obtain a moderate deviation principle.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Description microscopique des interfaces mobiles

Collections :